# How to Calculate and Solve for Diffusion Coefficients | Diffusion in Alloying

The image above represents diffusion coefficients. To calculate diffusion coefficients, four essential parameters are needed and these parameters are Diffusion Coefficient (D1), Time for Diffusion (t1), Diffusion Coefficient (D2)Â andÂ Time for Diffusion (t2).

### The formula for calculating the diffusion coefficient, D1:

D1Â =Â D2t2/t1

Where:

D1Â = Diffusion Coefficient 1
D2 = diffusion coefficient 2
t1Â = Time for Diffusion 1
t2 = time for diffusion 2

Given an example;
Find the diffusion coefficient 1 when the diffusion coefficient 2 is 4, the time for diffusion 1 is 8 and the time for diffusion is 10.

This implies that;

D2 = diffusion coefficient 2 = 4
t1 = Time for Diffusion 1 = 8
t2 = time for diffusion 2 = 10

D1Â =Â D2t2/t1
That is, D1Â =Â (8)(10)/(4)
D1Â =Â (80)/(4)
D1 = 20

Therefore, theÂ diffusion coefficient 1Â isÂ 20 g/mol.

### Calculating the Diffusion Coefficient 2 when the Diffusion Coefficient 1, the Time for Diffusion 1 and the Time for Diffusion 2 are Given

D2 = D1 x t1 / t2

Where:

D2 = diffusion coefficient 2
D1Â = Diffusion Coefficient 1
t1Â = Time for Diffusion 1
t2 = time for diffusion 2

Given an example;
Find the diffusion coefficient 2 when the diffusion coefficient 1 is 10, the time for diffusion 1 is 2 and the time for diffusion 2 is 5.

This implies that;

D1 = Diffusion Coefficient 1 = 10
t1 = Time for Diffusion 1 = 2
t2 = time for diffusion 2 = 5

D2 = D1 x t1 / t2
So, D2 = 10 x 2 / 5
D2 = 20 / 5
D2 = 4

Therefore, theÂ diffusion coefficient 2Â isÂ 4 g/mol.

### Calculating the Time for Diffusion 1 when the Diffusion Coefficient 1, the Diffusion Coefficient 2 and the Time for Diffusion 2 are Given

t1 = D2 x t2 / D1

Where:

t1Â = Time for Diffusion 1
D1Â = Diffusion Coefficient 1
D2 = diffusion coefficient 2
t2 = time for diffusion 2

Let’s solve an example;
Find the time for diffusion 1 when the diffusion coefficient 1 is 10, the diffusion coefficient 2 is 8 and the time for diffusion 2 is 4.

This implies that;

D1 = Diffusion Coefficient 1 = 10
D2 = diffusion coefficient 2 = 8
t2 = time for diffusion 2 = 4

t1 = D2 x t2 / D1
So, t1 = 8 x 4 / 10
t1 = 32 / 10
t1 = 3.2

Therefore, theÂ time for diffusion 1Â isÂ 3.2.

### Calculating the Time for Diffusion 2 when the Diffusion Coefficient 1, the Diffusion Coefficient 2 and the Time for Diffusion 1 are Given

t2 = D1 x t1 / D2

Where:

t2 = time for diffusion 2
D1Â = Diffusion Coefficient 1
D2 = diffusion coefficient 2
t1 = Time for Diffusion 1

Let’s solve an example;
Find the time for diffusion 2 when the diffusion coefficient 1 is 8, the diffusion coefficient 2 is 12 and the time for diffusion is 6.

This implies that;

D1 = Diffusion Coefficient 1 = 8
D2 = diffusion coefficient 2 = 12
t1 = Time for Diffusion 1 = 6

t2 = D1 x t1 / D2
So, t2 = 8 x 6 / 12
t2 = 48 / 12
t2 = 4

Therefore, theÂ time for diffusion 2Â isÂ 4.

### How to Calculate Diffusion Coefficients With Nickzom Calculator

Nickzom Calculator â€“Â The Calculator Encyclopedia is capable of calculating the diffusion coefficients.

To get the answer and workings of the diffusion coefficients using the Nickzom Calculator â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

You can get this app via any of these means:

You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator

Apple (Paid)Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to theÂ Calculator Map,Â then click onÂ Materials and MetallurgicalÂ underÂ Engineering.

Now, Click onÂ Diffusion In AlloyingÂ underÂ Materials and Metallurgical

Now, Click on Diffusion CoefficientsÂ underÂ Diffusion In Alloying

The screenshot below displays the page or activity to enter your values, to get the answer for the diffusion coefficients according to the respective parameters which are the Diffusion Coefficient (D1), Time for Diffusion (t1), Diffusion Coefficient (D2)Â andÂ Time for Diffusion (t2).

Now, enter the values appropriately and accordingly for the parameters as required by theÂ Time for Diffusion (t1) is 4, Diffusion Coefficient (D2) is 8 and Time for Diffusion (t2) is 10.

Finally, Click on Calculate

As you can see fromÂ the screenshot above,Â Nickzom Calculatorâ€“ The Calculator Encyclopedia can calculate diffusion coefficients and presents the formula, workings and steps too.